Journal article
A blob method for diffusion
- Abstract:
-
As a counterpoint to classical stochastic particle methods for diffusion, we develop a deterministic particle method for linear and nonlinear diffusion. At first glance, deterministic particle methods are incompatible with diffusive partial differential equations since initial data given by sums of Dirac masses would be smoothed instantaneously: particles do not remain particles. Inspired by classical vortex blob methods, we introduce a nonlocal regularization of our velocity field that ensur...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Bibliographic Details
- Publisher:
- Springer Publisher's website
- Journal:
- Calculus of Variations and Partial Differential Equations Journal website
- Volume:
- 58
- Issue:
- 2
- Article number:
- 53
- Publication date:
- 2019-02-16
- Acceptance date:
- 2019-01-18
- DOI:
- EISSN:
-
1432-0835
- ISSN:
-
0944-2669
Item Description
- Keywords:
- Pubs id:
-
1098229
- Local pid:
- pubs:1098229
- Deposit date:
- 2020-04-07
Terms of use
- Copyright holder:
- Carrillo, J.A., Craig, K. & Patacchini, F.S.
- Copyright date:
- 2019
- Rights statement:
- © 2019, The Author(s). This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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